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Finding the Fourth Proportional to 9,389.56, 12,956.07 and 5,197

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Solution

The fourth proportional to 9,389.56, 12,956.07 and 5,197 is: 7,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.56 : 12,956.07 = 5,197 : x
  2. Step 2: Convert to fraction form
    9,389.56/12,956.07 = 5,197/x
  3. Step 3: Cross multiply
    9,389.56x = 12,956.07 × 5,197
  4. Step 4: Simplify right side
    9,389.56x = 67,332,695.79
  5. Step 5: Solve for x
    x = 67,332,695.79/9,389.56
  6. Step 6: Final answer
    x = 7,171.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.